SSC GD 2025 PYQ — Question 56

SSC GD Const 2025 (English) - 11 Feb 2025 - Shift 2 • Quantitative Aptitude • Q56

The volume of a right circular cone is 168π cm3 and its height is 0.12 m. Find its radius.

Show answer & explanation

Correct answer: B

Explanation

The correct answer is Option 2 i.e. √42 cm.

 

Volume of cone = (1/3) × π × r2 × h

Given volume = 168π cm2, height = 0.12 m = 12 cm

So, (1/3) × π × r2 × 12 = 168π

⇒ (1/3) × 12 = 4

So 4r2 = 168

→ r2 = 42

→ r = √42 cm